- Combinatorics
- Graph Theory
- Optimization on Graphs
- +۳ مورد دیگر
Martí Farré is a faculty member in the Department of Mathematics at the Faculty of Mathematics and Statistics, Universitat Politècnica de Catalunya (UPC). He is actively involved in the COMBGRAPH research group (Combinatorics, Graph Theory, and Applications) and the OMGRAPH subgroup focusing on optimization methods in graphs. His research spans theoretical and applied aspects of discrete mathematics. Research Interests: Martí's work centers on Combinatorics and Graph Theory , with particular emphasis on extremal problems, connectivity, matching theory, independence number, and spectral graph properties. His research often investigates structural and optimization properties of graphs under constraints such as fixed diameter, degree sequences, or matching numbers. The analysis of his recent publications reveals a consistent focus on extremal graph theory, where he derives bounds and characterizes graphs maximizing or minimizing certain parameters (e.g., edges, diameter, connectivity) under given constraints. Key themes include vulnerability and robustness of networks, spectral properties, and combinatorial optimization on graphs. Scientific Awards and Recognition: Premi o reconeixement (Recognition or Prize) Advising and Grants: Martí has contributed to competitive R&D+i projects and innovation initiatives in education. He has supervised doctoral theses, indicating an active role in mentoring graduate students, although specific student names are not listed in the provided data. Labs and Research Teams: He is a key member of the COMBGRAPH research group at UPC, a leading team in combinatorics and graph applications, and participates in the OMGRAPH subgroup dedicated to optimization on graphs, contributing to both theoretical advances and real-world applications.




